Function which is both even and odd

Some functions exhibit symmetry so that reflections result in the original graph. We say that these types of graphs are symmetric about the y -axis. Functions whose graphs are symmetric about the y -axis are called even functions. Figure We say that these graphs are symmetric about the origin. A function with a graph that is symmetric about the origin is called an odd function. Note: A function can be neither even nor odd if it does not exhibit either symmetry.

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Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown. The process for checking if it's even, odd, or neither is the same as always. I'll start by plugging — x in for x :. You may find it helpful, when answering this "even or odd" type of question, to write down — f x explicitly, and then compare this to whatever you get for f — x. This can help you make a confident determination of the correct answer. You can use the Mathway widget below to practice figuring out if a function is even, odd, or neither.

Try the entered exercise, or type in your own exercise. Then click the "paper-airplane" button to compare your answer to Mathway's. Please accept "preferences" cookies in order to enable this widget. Clicking on "Tap to view steps" on the widget's answer screen will take you to the Mathway site for a paid upgrade.

Page 1 Page 2 Page 3. All right reserved. Web Design by. Skip to main content. Purplemath You may be asked to "determine algebraically" whether a function is even or odd. In all other cases, the function is "neither even nor odd". Let's see what this looks like in action: Content Continues Below. Content Continues Below.

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